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At a very very quick glance, the one-liner if statements without curly braces is killing me. Definition of the variables at the start of the functions (eg. int i) makes me think this is an old C developer.

Needs more use of obtuse STL and difficult-to-read use of modern C++ template and decltype stuff to be true C++! More use of tuple and std::get<> is needed.

It's probably really fast though.

    } //added these braces